I just want to know the answers for #1 since I worked them out but i want to mak

Question

I just want to know the answers for #1 since I worked them out but i want to make sure that for b) the h.a. is y=-1 and y=4. and the v.a. is x=0.

(iv) lim f(x)lim (vi) lim (vii) lim f(x) (viii) lim fOx) 1. The graph of f is given. (b) State the equations of the horizontal asymptotes (c) State the equations of the vertical asymptotes. ? Explain. 2. Sketch the graph of a function f that satisfies all of the following conditions: lim fx)-lim f(x) 2 f is continuous from the right at 3 (a) Find each limit, or explain why it does not exist. (i),li-pf(x) (ii) , lim,f(x) (iii) lim,f(x)

Explanation / Answer

Solution : a )   i) limit is 3   ii) limit x -> - 3^+ f(x) = 0 iii) limit x-> -3 = does not exist.

   iv) limit is 2 v ) limit is infinity   vi )Limit is   - ( - infinity ) VII) limit is 4 Viii) limit is - 1

b) h.a. is y=-1 and y=4.

c ) and the v.a. is x = 0.

d) At x = -3 since limit does not exist at this point.

At x = 0 the limit goes to infinity

   At x = 2 the limit does not exist

At x = 4 the limit is not equals to f(4) .

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